Millican Colloquium-Vector-valued modular forms constructed from intertwining operators of the minimal models-- Matthew Krauel (Cal State Sacramento) | College of Science

Millican Colloquium-Vector-valued modular forms constructed from intertwining operators of the minimal models-- Matthew Krauel (Cal State Sacramento)

Event Date: 
Monday, April 9, 2018 - 4:00pm
Location: 
GAB 461 (Refreshments at 3:30 in 472
Event Department: 
Event Type: 

In this talk we discuss a class of trace functions, similar to those first studied in relation to Monstrous Moonshine, along with some questions surrounding them. We provide the construction of these functions, which arise from intertwining operators associated to a vertex operator algebra (VOA). It is well known in this setting that the trivial intertwining operators give rise to congruence modular forms. In this talk we discuss this statement for more general intertwining operators arising from the minimal model VOA. The necessary information surrounding VOAs and vector-valued modular forms will be reviewed.

Presenter Name: 
Matthew Krauel
Presenter Organization: 
Cal State Sacramento

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